Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
Queste informazioni sono destinate esclusivamente agli studenti e alle studentesse già iscritti a questo corso. Se sei un nuovo studente interessato all'immatricolazione, trovi le informazioni sul percorso di studi alla pagina del corso:
Laurea in Matematica applicata - Immatricolazione dal 2025/2026.The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
Modules | Credits | TAF | SSD |
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2° Year activated in the A.Y. 2016/2017
Modules | Credits | TAF | SSD |
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One course to be chosen among the following
3° Year activated in the A.Y. 2017/2018
Modules | Credits | TAF | SSD |
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One/two courses to be chosen among the following
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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One course to be chosen among the following
Modules | Credits | TAF | SSD |
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One/two courses to be chosen among the following
Modules | Credits | TAF | SSD |
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Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Algebra (2016/2017)
Teaching code
4S00022
Academic staff
Coordinator
Credits
6
Language
Italian
Scientific Disciplinary Sector (SSD)
MAT/02 - ALGEBRA
Period
I sem. dal Oct 3, 2016 al Jan 31, 2017.
Learning outcomes
The course provides an introduction to modern algebra. After presenting and discussing the main algebraic structures (groups, rings, fields), the focus is on Galois theory. Also some applications are discussed, in particular results on solvability of polynomial equations by radicals.
Program
Groups, subgroups, cosets, quotient groups. Solvable groups. Rings. Ideals. Homomorphisms. Principal ideal domains. Unique factorization domains. Euclidean rings. The ring of polynomials. Fields. Algebraic field extensions. The splitting field of a polynomial. Normal extensions. Separable extensions. Galois theory. Theorem of Abel-Ruffini.
Prerequisites: Linear Algebra
Author | Title | Publishing house | Year | ISBN | Notes |
---|---|---|---|---|---|
S. Bosch | Algebra | Springer Unitext | 2003 | 978-88-470-0221-0 | |
I. N. Herstein | Algebra | Editori Riuniti | 2003 |
Examination Methods
The exam consists of a written examination. The mark obtained in the written examination can be improved by the mark obtained for the homework and/or by an optional oral examination. Only students who have passed the written exam will be admitted to the oral examination.
Teaching materials e documents
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Esercizi - Foglio 10 (pdf, it, 84 KB, 12/22/16)
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Esercizi - Foglio 1 - versione corretta (pdf, it, 104 KB, 10/17/16)
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Esercizi - Foglio 2 (pdf, it, 138 KB, 10/19/16)
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Esercizi - Foglio 3 (pdf, it, 92 KB, 10/26/16)
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Esercizi - Foglio 4 (pdf, it, 69 KB, 11/2/16)
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Esercizi - Foglio 5 (corretto) (pdf, it, 98 KB, 11/11/16)
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Esercizi - Foglio 6 (corretto) (pdf, it, 89 KB, 11/21/16)
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Esercizi - Foglio 7 (pdf, it, 81 KB, 11/24/16)
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Esercizi - Foglio 8 (pdf, it, 96 KB, 12/7/16)
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Esercizi - Foglio 9 (pdf, it, 87 KB, 12/14/16)
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filo rosso (pdf, it, 518 KB, 1/12/17)
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PRESENTAZIONE CORSO (pdf, it, 148 KB, 10/5/16)
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Prova intermedia 7/12/2016 (pdf, it, 133 KB, 12/14/16)
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Prova scritta del 16/2/2017 (pdf, it, 132 KB, 3/8/17)